A point object is placed at the focus of a convex mirror the image will be formed at

Options

A. Infinity
B. Centre of curvature
C. At focus itself
D. None of these

Explanation

To solve the problem of determining where the image will be formed when a point object is placed at the focus of a convex mirror, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- A convex mirror is a spherical mirror with its reflecting surface bulging outward. The focal point of a convex mirror is virtual and located behind the mirror.

2. **Identifying the Position of the Object**:
- The question states that a point object is placed at the focus of the convex mirror. In the case of a convex mirror, the focus (F) is located behind the mirror.

3. **Reflection Principles**:
- In a convex mirror, the rays of light that are parallel to the principal axis diverge after reflecting off the mirror. The extensions of these diverging rays appear to originate from the focal point behind the mirror.

4. **Image Formation**:
- When an object is placed at the focus of a convex mirror, the image formed will be virtual, upright, and diminished. However, since the object is at the focus and the focus is on the non-reflecting side, the mirror will not create any image.

5. **Conclusion**:
- Therefore, since the object is at the focus of the convex mirror, and the focus is on the non-reflecting side, the mirror will not produce any image of the object. The correct answer is "none of these."

### Final Answer:
None of these.